Abstract
P-frames in Banach spaces are straightforward generalization of frames in Hilbert spaces. In this paper, motivated the concept of p-Bessel sequences, the concept of p-controlled Bessel sequences is introduced and showed that under some warily conditions, $1<p\leq 2$, they can use instead of each other. Also a close relationship between inherent properties of p-frame mappings and p-pseudo frame mappings with controlled p-frames and p-frames is found. In other words the cases that these natural mappings can be accretive, Lipschitz continuous, coercive and monotone are investigated.
Citation
Elnaz Osgooei. Abolhassan Fereydooni. "Properties of frame mappings devised by controlled p-frames and p-frames." Bull. Belg. Math. Soc. Simon Stevin 27 (3) 467 - 479, august 2020. https://doi.org/10.36045/bbms/1599616825
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